City Council Speaker Gifford Miller will use his State of the City speech today to propose extending Mayor Bloomberg’s property-tax rebate for homeowners to renters, The Post has learned.

Details were sketchy but Miller is expected to push for the city’s 2 million renters to get something back as well, sources said.

When Bloomberg announced his decision to give back $250 million to 600,000 small-property owners in the form of $400 rebates earlier this year, Miller was critical.

He said the mayor’s proposed annual property tax rebate should be expanded to the city’s renters and he’s expected to propose a means to do it.

Miller is expected to challenge Bloomberg for the mayoralty in 2005.

Miller’s aides said the speaker would also use his speech to showcase his support for the city’s teachers.

His remarks might be an effort to mend fences with the teachers’ union, which clashed with City Council members last year during marathon hearings where arcane rules in the teachers’ contract were exposed.